Students use protractors, strings, and straws to construct a device used to determine the height of tall objects. For this applied geometry lesson, students use common objects to construct a tangent height guide. They use principles of...

Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.

Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...

In this trigonometric ratios learning exercise, students determine the value of trigonometric ratios.  They find the area of triangles, determine the length of one side, and compute the degrees in an angle.  This five-page...

Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.

In this geometry instructional activity, students solve problems by finding the diameter, radius and chord of a circle. They also solve for the area of the circle. There are 10 questions with an answer key.

In this triangles worksheet, 10th graders solve 3 extensive informal geometry problems that involve triangles. First, they sketch a triangle, selecting 3 of the sides and constructing 3 midpoints. Students then draw each of 3 medians by...

Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...

Learners utilize triangulation techniques to determine altitudes of objects. An altitude locator is constructed and used to determine the height of a building or a tree. Tangent tables and formulas provide the ratio for the formula to...

Students investigate the basic trigonometric functions.  In this geometry/trigonometry lesson, students explore strategies to solve right triangles using basic trigonometric functions.  The lesson includes an application...

Students shoot off a rocket and measure the trig ratios relation. In this geometry instructional activity, students practice using an inclinometer to figure out how high their rockets fly. They measure angles and height and relate it to...

Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...

Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.

Fifth graders describe and demonstrate how trigonometry can be used to find the height of a tall building or tree. They describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where...

Explore and understand tangent ratios.

In this activity students explore the tangent ratio. Students construct a right triangle using perpendicular lines, and a line that forms the hypotenuse of the triangle. When students construct the hypotenuse line it is very important...

Discover sine and cosine ratios in trigonometric ratios.

Learn how to find the sine, cosine, and tangent of angles in right triangles.

Given the side lengths of a right triangle, find the sine, cosine, or tangent of one of the acute angles. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.